Abstract
In this paper, we derive analytical solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation via symbol calculation approach. Applying the exp−φz-expansion method, we achieve the trigonometric, exponential, hyperbolic, and rational function solutions for the CDGSK equation. By choosing the appropriate parameters, we give some computer simulation to the analytical solutions of the CDGSK equation.
Highlights
Nonlinear fractional and integer order differential equations are widely utilized in fluid dynamics, solid state physics, plasma physics, biology, nonlinear optics, chemistry, etc
The study to exact solutions of various NLDEs is extremely important in modern mathematics with ramifications to some areas of physics, mathematics, and other sciences
The finite dimensional reduction was investigated by Enolski et al [35], and N-soliton solutions were discovered by Parker [36] via the dressing method
Summary
Nonlinear fractional and integer order differential equations are widely utilized in fluid dynamics, solid state physics, plasma physics, biology, nonlinear optics, chemistry, etc. Many years have passed by, lots of research results for the CDGSK equation have been developed As to this equation, the finite dimensional reduction was investigated by Enolski et al [35], and N-soliton solutions were discovered by Parker [36] via the dressing method. Let all coefficients with the same power of expð−φðzÞÞ be zero to obtain a system of algebraic equations In solving these equations, we achieve the values of Bτ ≠ 0, γ, θ and substitute them into Equation (5) as well as Equations (7)–(12) to accomplish the determination for analytical solutions of the original PDE
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
